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Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1's.
0

%I #6 Apr 26 2020 20:59:50

%S 2,8,64,1235,50595,4476519,869077778,366077961514,335596576750584,

%T 669918796268237474,2910017609941646409850,27515650943860323389048352,

%U 566341048893984999950037393720,25373839553082331349391351332105201

%N Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1's.

%C Diagonal of A296335.

%e Some solutions for n=5

%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .1..0..0..0..1

%e ..0..0..0..0..1. .1..1..0..1..1. .1..1..0..1..0. .0..0..0..0..0

%e ..1..1..0..0..0. .1..0..0..1..0. .1..0..0..0..0. .1..0..0..0..0

%e ..1..0..1..0..1. .0..1..0..0..0. .0..1..0..1..0. .0..1..1..0..1

%e ..0..1..1..0..0. .1..1..0..0..1. .0..0..1..1..0. .0..1..0..0..0

%Y Cf. A296335.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2017